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Finding the Fourth Proportional to 538.23, 741.32 and 464.42

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Solution

The fourth proportional to 538.23, 741.32 and 464.42 is: 639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 741.32 = 464.42 : x
  2. Step 2: Convert to fraction form
    538.23/741.32 = 464.42/x
  3. Step 3: Cross multiply
    538.23x = 741.32 × 464.42
  4. Step 4: Simplify right side
    538.23x = 344,277.81
  5. Step 5: Solve for x
    x = 344,277.81/538.23
  6. Step 6: Final answer
    x = 639.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.